A class of shape preserving 5-point \(n\)-ary approximating schemes

Volume 18, Issue 3, pp 364--380 http://dx.doi.org/10.22436/jmcs.018.03.11
Publication Date: August 08, 2018 Submission Date: May 29, 2017 Revision Date: August 12, 2017 Accteptance Date: August 25, 2017

Authors

Robina Bashir - Department of Mathematics, The Islamia University of Bahawalpur, Bahawalpur, Pakistan. Ghulam Mustafa - Department of Mathematics, The Islamia University of Bahawalpur, Bahawalpur, Pakistan. Praveen Agarwal - Department of Mathematics, Anand International College of Engineering, Jaipur, India.


Abstract

A new class of shape preserving relaxed 5-point \(n\)-ary approximating subdivision schemes is presented. Further, the conditions on the initial data assuring monotonicity, convexity and concavity preservation of the limit functions are derived. Furthermore, some significant properties of ternary and quaternary subdivision schemes have been elaborated such as continuity, Hölder exponent, polynomial generation, polynomial reproduction, approximation order, and support of basic limit function. Moreover the visual performance of schemes has also been demonstrated through several examples.


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ISRP Style

Robina Bashir, Ghulam Mustafa, Praveen Agarwal, A class of shape preserving 5-point \(n\)-ary approximating schemes, Journal of Mathematics and Computer Science, 18 (2018), no. 3, 364--380

AMA Style

Bashir Robina, Mustafa Ghulam, Agarwal Praveen, A class of shape preserving 5-point \(n\)-ary approximating schemes. J Math Comput SCI-JM. (2018); 18(3):364--380

Chicago/Turabian Style

Bashir, Robina, Mustafa, Ghulam, Agarwal, Praveen. "A class of shape preserving 5-point \(n\)-ary approximating schemes." Journal of Mathematics and Computer Science, 18, no. 3 (2018): 364--380


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